w∞ gravity

E. Bergshoeff; C.N. Pope; L.J. Romans; E. Sezgin; X. Shen; K.S. Stelle

doi:10.1016/0370-2693(90)91396-S

w∞ gravity

E. Bergshoeff
, C.N. Pope
, L.J. Romans
, E. Sezgin
, X. Shen
, K.S. Stelle

Research output: Contribution to journal › Article › Academic

59 Citations (Scopus)

292 Downloads (Pure)

Abstract

We construct a gauge theory of w∞ gravity coupled to scalars. For scalar fields valued in some-finite-dimensional Lie algebra, a complete realisation of gauged w∞ can be given using a number of gauge fields equal to the rank of the Lie algebra. We show how the theory can be truncated to describe a gauge theory of WN gravity, and we give the explicit result for W3. We show that the transformations of the scalar fields can be interpreted as a non-linear realisation on the coset w1+∞/w∞.

Original language	English
Pages (from-to)	350-357
Number of pages	8
Journal	Physics Letters B
Volume	243
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(90)91396-S
Publication status	Published - 5-Jul-1990
Externally published	Yes

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@article{faabe10dacf14f438366102e15cd5d1b,

title = "w∞ gravity",

abstract = "We construct a gauge theory of w∞ gravity coupled to scalars. For scalar fields valued in some-finite-dimensional Lie algebra, a complete realisation of gauged w∞ can be given using a number of gauge fields equal to the rank of the Lie algebra. We show how the theory can be truncated to describe a gauge theory of WN gravity, and we give the explicit result for W3. We show that the transformations of the scalar fields can be interpreted as a non-linear realisation on the coset w1+∞/w∞.",

author = "E. Bergshoeff and C.N. Pope and L.J. Romans and E. Sezgin and X. Shen and K.S. Stelle",

note = "Relation: http://www.rug.nl/fmns-research/ctn/index date\_submitted:2008 Rights: University of Groningen, Centre for Theoretical Physics",

year = "1990",

month = jul,

day = "5",

doi = "10.1016/0370-2693(90)91396-S",

language = "English",

volume = "243",

pages = "350--357",

journal = "Physics Letters B",

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TY - JOUR

T1 - w∞ gravity

AU - Bergshoeff, E.

AU - Pope, C.N.

AU - Romans, L.J.

AU - Sezgin, E.

AU - Shen, X.

AU - Stelle, K.S.

N1 - Relation: http://www.rug.nl/fmns-research/ctn/index date_submitted:2008 Rights: University of Groningen, Centre for Theoretical Physics

PY - 1990/7/5

Y1 - 1990/7/5

N2 - We construct a gauge theory of w∞ gravity coupled to scalars. For scalar fields valued in some-finite-dimensional Lie algebra, a complete realisation of gauged w∞ can be given using a number of gauge fields equal to the rank of the Lie algebra. We show how the theory can be truncated to describe a gauge theory of WN gravity, and we give the explicit result for W3. We show that the transformations of the scalar fields can be interpreted as a non-linear realisation on the coset w1+∞/w∞.

AB - We construct a gauge theory of w∞ gravity coupled to scalars. For scalar fields valued in some-finite-dimensional Lie algebra, a complete realisation of gauged w∞ can be given using a number of gauge fields equal to the rank of the Lie algebra. We show how the theory can be truncated to describe a gauge theory of WN gravity, and we give the explicit result for W3. We show that the transformations of the scalar fields can be interpreted as a non-linear realisation on the coset w1+∞/w∞.

U2 - 10.1016/0370-2693(90)91396-S

DO - 10.1016/0370-2693(90)91396-S

M3 - Article

SN - 0370-2693

VL - 243

SP - 350

EP - 357

JO - Physics Letters B

JF - Physics Letters B

IS - 4

ER -

w∞ gravity

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